Geodesic
5-sparse Steiner triple systems of order \(n\) exist for almost all admissible \(n\)
The electronic journal of combinatorics, Tome 12 (2005)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Steiner triple systems are known to exist for orders $n \equiv 1,3$ mod $6$, the admissible orders. There are many known constructions for infinite classes of Steiner triple systems. However, Steiner triple systems that lack prescribed configurations are harder to find. This paper gives a proof that the spectrum of orders of 5-sparse Steiner triple systems has arithmetic density $1$ as compared to the admissible orders.
DOI : 10.37236/1965
Classification : 05B07 
@article{10_37236_1965,
     author = {Adam Wolfe},
     title = {5-sparse {Steiner} triple systems of order \(n\) exist for almost all admissible \(n\)},
     journal = {The electronic journal of combinatorics},
     year = {2005},
     volume = {12},
     doi = {10.37236/1965},
     zbl = {1079.05013},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1965/}
}
TY  - JOUR
AU  - Adam Wolfe
TI  - 5-sparse Steiner triple systems of order \(n\) exist for almost all admissible \(n\)
JO  - The electronic journal of combinatorics
PY  - 2005
VL  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1965/
DO  - 10.37236/1965
ID  - 10_37236_1965
ER  - 
%0 Journal Article
%A Adam Wolfe
%T 5-sparse Steiner triple systems of order \(n\) exist for almost all admissible \(n\)
%J The electronic journal of combinatorics
%D 2005
%V 12
%U http://geodesic.mathdoc.fr/articles/10.37236/1965/
%R 10.37236/1965
%F 10_37236_1965
Adam Wolfe. 5-sparse Steiner triple systems of order \(n\) exist for almost all admissible \(n\). The electronic journal of combinatorics, Tome 12 (2005). doi: 10.37236/1965

Cité par Sources :